High order level contour reconstruction method

Journal of Mechanical Science and Technology

Volumn 21, Issue 2, 2007, Pages 311-326

  Shin, Seungwon ^a   Juric, Damir ^b  

^a Hong Ik University   (South Korea)

^b UFR 919 Laboratoire d'Informatique Pour la Mécanique et les Sciences de l'Ingénieur   (France)

Author keywords

Computational fluid dynamics; Front tracking; Multiphase flow; Numerical simulation; Parasitic currents; Surface tension

Indexed keywords

EID: 34250756606     PISSN: 1738494X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02916292     Document Type: Article

References (27)

1. Aulisa, E., Manservisi, S. and Scardovelli, R., 2003, "A Mixed Markers and Volume-of-fluid Method for the Reconstruction and Advection of Interfaces in Two-phase and Free-boundary Flows," J. Comput. Phys., Vol. 188, pp. 611-639.
2. Brackbill, J. U., Kothe, D. B. and Zemach, C., 2002, "A Continuum Method for Modeling Surface Tension," J. Comput. Phys., Vol. 100, pp. 335-354.
3. Chorin, J., 1968, "Numerical Solution of the Navier-Stokes Equations," Math. Comput, Vol. 22, pp. 745-762.
4. Enright, D., Fedkiw, R., Ferziger, J. and Mitchell, I., 2002, "A Hybrid Particle Level set Method for Improved Interface Capturing," J. Comput. Phys., Vol. 183, pp. 83-116.
5. Harlow, F. H. and Welch, J. E., 1965, "Numerical Calculation of Time Dependent Viscous Incompressible Flow of Fluid with Free Surface," Phys. Fluids, Vol. 8, pp. 2182-2189.
6. Jamet, D., Lebaigue, O., Coutris, N., and Delhaye, J. M., 2001, "The Second Gradient Method for the Direct Numerical Simulation of Liquid-Vapor Flows with Phase-change," J. Comput. Phys., Vol. 169, pp. 624-651.
7. Juric, D. and Tryggvason, G., 1998, "Computations of Boiling Flows," Int. J. Multiphase Flow, Vol. 24, pp. 387-410.
8. Lafaurie, B., Nardone, C., Scardovelli, R., Zaleski, S. and Zanetti, G., 1994, "Modeling Merging and Fragmentation in Multiphase Flows with SURFER," J. Comput. Phys., Vol. 113, pp. 134-147.
9. Monaghan, J., 1985, "Particle Methods for Hydrodynamics," Comput. Phys. Rep., Vol. 3, pp. 71-124.
10. Osher, S. and Fedkiw, R. P., 2001, "Level Set Methods: An Overview and Some Recent Results," J. Comput. Phys., Vol. 169, pp. 463-502.
11. Popinet, S. and Zaleski, S., 1999, "A Front-Tracking Algorithm for Accurate Representation of Surface Tension," Int. J. Num. Meth. Fluids, Vol. 30, pp. 493-500.
12. Renardy, Y. and Renardy, M., 2002, "PROST: A Parabolic Reconstruction of Surface Tension for the Volume-of-fluid Method," J. Comput. Phys., Vol. 183, pp. 400-421.
13. Ryskin, G. and Leal, L. G., 1984, "Numerical Solution of Free-Boundary Problems in Fluid Mechanics. Part 1. The Finite-Difference Technique," J. Fluid Mech., Vol. 148, pp. 1-17.
14. Ryskin, G. and Leal, L. G., 1984, "Numerical Solution of Free-Boundary Problems in Fluid mechanics. Part 2. Buoyancy-Driven Motion of a Gas Bubble Through a Quiescent Liquid," J. Fluid Mech., Vol. 148, pp. 19-35.
15. Scardovelli, R. and Zaleski, S., 1999, "Direct Numerical Simulation of Free-Surface and Interfacial Flow," Ann. Rev. Fluid Mech., Vol. 31, pp. 567-603.
16. Shin, S. and Juric, D., 2002, "Modeling Three-Dimensional Multiphase Flow Using a Level Contour Reconstruction Method for Front Tracking Without Connectivity," J. Comput. Phys., Vol.180, pp. 427-470.
17. Shin, S., 2002, "A Level Contour Reconstruction Method for Three-Dimensional Multiphase Flows and its Application," Ph.D. Thesis, Georgia Institute of Technology.
18. Shin, S., Abdel-Khalik, S. I., Daru, V. and Juric, D., 2005, "Accurate Representaion of Surface Tension Using the Level Contour Reconstruction Method," J. Comput. Phys., Vol. 203, pp. 493-516.
19. Shirani, E., Ashgriz, N. and Mostaghimi, J., 2005, "Interface Pressure Caluclation Based on Conservation of Momentum for Front Capturing Methods," J. Comput. Phys., Vol. 203, pp. 154-175.
20. Shu, C. W. and Osher, S., 1989, "Efficient Implementation of Essentially Non-Oscillatory Shock Capturing Schemes II," J. Comput. Phys., Vol. 83, pp. 32-78.
21. Son, G., 2001, "Numerical Study on a Sliding Bubble During Nucleate Boiling," KSME International Journal, Vol. 15, pp. 931-940.
22. Sussman, M. and Puckett, E. G., 2000, "A Coupled Level Set and Volume-of-fluid Method for Computing 3D and Axisymmetric Incom-pressible Two-Phase Flows," J. Comput. Phys., Vol. 162, pp. 301-337.
23. Sussman, M., Fatemi, E., Smereka, P. and Osher, S., 1998, "An Improved Level Set Method for Incompressible Two-Phase Flows," Computers and Fluids, Vol. 27, pp. 663-680.
24. Torres, D. J. and Brackbill, J. U., 2000, "The Point-Set Method: Front-Tracking Without Connectivity," J. Comput. Phys., Vol. 165, pp. 620-644.
25. Tryggvason, G., Bunner, B., Esmaeeli, A., Juric, D., Al-Rawahi, N., Tauber, W., Man, J., Nas, S. and Jan, Y. -J., 2001, "A Front Tracking method for the Computations of Multiphase Flow," J. Comput. Phys., Vol. 169, pp. 708-759.
26. Unverdi, S. O. and Tryggvason, G., 1992a, "A Front-Tracking Method for Viscous, Incompressible, Multi-Fluid Flows," J. Comput. Phys., Vol. 100, pp. 25-37.
27. Unverdi, S. O. and Tryggvason, G., 1992b, "Computations of Multi-Fluid Flows," Physica D., Vol. 60, pp. 70-83.